package Maths;

/**
 * https://en.wikipedia.org/wiki/Pythagorean_triple
 *
 */
public class PythagoreanTriple {
	public static void main(String[] args) {
		assert isPythagTriple(3,4,5);
		assert isPythagTriple(5,12,13);
		assert isPythagTriple(6,8,10);
		assert !isPythagTriple(10,20,30);
		assert !isPythagTriple(6,8,100);
		assert !isPythagTriple(-1,-1,1);
	}
	
	/**
	 * Check if a,b,c are a Pythagorean Triple
	 * 
	 * @param a x/y component length of a right triangle
	 * @param b y/x component length of a right triangle
	 * @param c hypotenuse length of a right triangle
	 * @return boolean <tt>true</tt> if a, b, c satisfy the Pythagorean theorem, otherwise <tt>false</tt>
	 */
	public static boolean isPythagTriple(int a, int b, int c) {
		if(a <= 0 || b <= 0 || c <= 0) {
			return false;
		} else {
			return (a * a) + (b * b) == (c * c);
		}
	}
}
